# S ^ EQUIVARIANT FUNCTION SPACES AND CHARACTERISTIC CLASSES

@inproceedings{Miller2009SE, title={S ^ EQUIVARIANT FUNCTION SPACES AND CHARACTERISTIC CLASSES}, author={Edward Y. Miller and H. Richard Miller and Then}, year={2009} }

We determine the structure of the homology of the BeckerSchultz space SGiS1) ~ Q(CP^° AS1) of stable Sx-equivariant self-maps of spheres (with standard free S1 -action) as a Hopf algebra over the DyerLashof algebra. We use this to compute the homology of BSGiS1). Along the way, we give a fresh account of the partially framed transfer construction and the Becker-Schultz homotopy equivalence. We compute the effect in homology of the '^-transfers" CPf AS1^ Q((BZpn) + ), n > 0, and of the… CONTINUE READING

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